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  • 23-07-2020
  • Mathematics
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What is the distance betweem points W and X to the nearest hundredth?​

What is the distance betweem points W and X to the nearest hundredth class=

Respuesta :

Newton9022 Newton9022
  • 25-07-2020

Answer:

16.97 Units

Step-by-step explanation:

From the graph

Point W is located at (-6,4)

Point X is located at (6,-8)

To determine the distance between points W and X, we use the distance formula.

[tex]\text{Distance Formula}=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex](x_1,y_1)=(-6,4)\\(x_2,y_2)=(6,-8)[/tex]

So,

[tex]WX=\sqrt{(6-(-6))^2+(-8-4)^2} \\=\sqrt{(6+6)^2+(-12)^2}\\=\sqrt{(12)^2+(-12)^2}\\=\sqrt{288}\\=16.97$ units (correct to the nearest hundredth)[/tex]

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